Arithmetic Sequence Term
Find the nth term of an arithmetic sequence from its first term and common difference.
How to use
- Enter first term a, term number n, and common difference d.
- Calculate to obtain the nth term.
Capabilities and scope
The calculator targets one position in a sequence whose adjacent terms differ by a constant amount.
How it works
It uses a_n = a + (nā1)d.
Example
A sequence starting at 3 with difference 2 has 11 as its fifth term.
Useful for
- Find a particular position in an arithmetic pattern
- Model a value that increases by a fixed amount each step
Before you use it
- The term number should be interpreted as an integer of at least 1.
Frequently asked questions
Can the common difference be negative?
Yes. A negative difference represents an arithmetic sequence that decreases by a fixed amount.